Mathematics - Coordinate Geometry Mixed Question with Solution | TestHub

Here $m=1,c=5$. Parabola $y^2=20x(a=5):c=\frac{a}{m}=5$, tangent. Ellipse $\frac{x^2}{16}+\frac{y^2}{9}=$ 1: $c^2=a^2{m}^2+b^2=16+9=25$, tangent. Hyperbola: $c^2=a^2{m}^2-b^2=29-4=25$, tangent. Circle $x^2+y^2=25:c^2=25\ne r^2\left(1+m^2\right)=50$, not tangent.